A Treatise on DynamicsBell and Company, 1893 - 448 páginas |
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... expressions for velocities and accelerations , as far as possible , from the definitions and axioms of the subject . In the applications to Kinetics , or , in other words , in the combination of these expressions with the Laws of Motion ...
... expressions for velocities and accelerations , as far as possible , from the definitions and axioms of the subject . In the applications to Kinetics , or , in other words , in the combination of these expressions with the Laws of Motion ...
Página 5
... expression affecting dx ' being expanded in ascending powers of D. The complementary function Aea + Be must be added , a and B being the roots of the equation m2 + am + b = 0 . If the roots of this equation are imaginary and of the form ...
... expression affecting dx ' being expanded in ascending powers of D. The complementary function Aea + Be must be added , a and B being the roots of the equation m2 + am + b = 0 . If the roots of this equation are imaginary and of the form ...
Página 7
... expression ds dt ' that is , is the measure of the velocity . St ' Or we may argue as follows , If v be the velocity at the time t and v + Sv at the time t + St , then ds lies between vôt and ( v + Sv ) St , and therefore ultimately , v ...
... expression ds dt ' that is , is the measure of the velocity . St ' Or we may argue as follows , If v be the velocity at the time t and v + Sv at the time t + St , then ds lies between vôt and ( v + Sv ) St , and therefore ultimately , v ...
Página 10
... expression represents the velocity in feet per second . If ƒ be the measure of an acceleration when a feet and t seconds are units , the meaning is that the velocity per t seconds added in t seconds = fa in feet ; .. velocity per second ...
... expression represents the velocity in feet per second . If ƒ be the measure of an acceleration when a feet and t seconds are units , the meaning is that the velocity per t seconds added in t seconds = fa in feet ; .. velocity per second ...
Página 11
... expression can be obtained for its angular velocity about a fixed point 0 . For if OP = r , and if p be the perpendicular from 0 on the direction of motion of the point , and v its velocity , the angular velocity is equal to the ...
... expression can be obtained for its angular velocity about a fixed point 0 . For if OP = r , and if p be the perpendicular from 0 on the direction of motion of the point , and v its velocity , the angular velocity is equal to the ...
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Términos y frases comunes
acting forces action angular momentum axes ball body centre of force centre of gravity chain circle circular component constant coordinates cos² curve cycloid described determine the motion diameter direction of motion disc distance ds ds Edition elastic string ellipse equal equations of motion equilibrium Fcap fixed point given h₁ heavy particle Hence hodograph horizontal plane hyperbola impulses inclination initial instant kinetic energy latus rectum mass moment of inertia momenta natural length normal obtain orbit parabola particle moves path perpendicular point moves position prove radius of curvature radius vector relative revolve ring rotation shew sin² smooth horizontal plane sphere straight line surface Taking tangent tension time-flux tube uniform angular velocity uniformly vertex vertical plane weight
Pasajes populares
Página 48 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it may be compelled by impressed forces to change that state.